Question

If AB = 1, BD = 4, and DE = 6, what is the length of BC ?

1.5
1.4
1.2
2

Answer 1

Answer:1.2

Explanation:

Answer 2

For this case, the first thing we must observe is that the triangles are similar.
We can then use the following relationship:

`BC / DE = AB / (AB + BD)`
Clearing the value of BC we have:

`BC = (AB / (AB + BD)) * (DE)`
Substituting the values we have:

`BC = (1 / (1 + 4)) * (6)`
Rewriting we have:

`BC = (1/5) * (6) BC = 6/5 BC = 1.2`
Answer:
The length of BC is given by:
BC = 1.2